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Time and Distance - General Aptitude

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and
  • Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
  • Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
  • Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
  • Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
  • Give answer(E) if the data in both Statements I and II together are necessary to answer the question.
Q1:

Two cars pass each other in opposite direction. How long would they take to be 500 km apart?
I.  The sum of their speeds is 135 km/hr.
 II.  The difference of their speed is 25 km/hr.

A I alone sufficient while II alone not sufficient to answer

B II alone sufficient while I alone not sufficient to answer

C Either I or II alone sufficient to answer

D Both I and II are not sufficient to answer

E Both I and II are necessary to answer

ANS:A - I alone sufficient while II alone not sufficient to answer

I gives, relative speed = 135 km/hr.

 Time taken = 500 hrs.
135
II does not give the relative speed.  I alone gives the answer and II is irrelevant.  Correct answer is (A).